Finding the Fourth Proportional to 1,085.69, 1,498.24 and 588.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.69 : 1,498.24 = 588.32 : x
2. Step 2: Convert to fraction form
   1,085.69/1,498.24 = 588.32/x
3. Step 3: Cross multiply
   1,085.69x = 1,498.24 × 588.32
4. Step 4: Simplify right side
   1,085.69x = 881,444.56
5. Step 5: Solve for x
   x = 881,444.56/1,085.69
6. Step 6: Final answer
   x = 811.87